The manager of a take-out pizza store needs to hire pizza makers and cashiers for the evening shift. The total number of employees of both kinds can be at most 16 and the ratio of cashiers to pizza makers must be at least 3 to 5. Also, each pizza maker can answer 12 phone calls per hour and each cashier can answer 4 calls per hour while the pizza shop must be able to handle at least 72 calls during peak hours.
(a) Create and graph a system of linear inequalities to model this problem
(b) Identify the solution region
(c) If each pizza maker gets $10 per hour and each cashier gets $6 hour, how many
pizza makers and how many cashiers should the manager hire in order to minimize
her cost?
Answers
Answer:
a) x + y ≤ 16
y/x ≥ 3/5
12*x + 4*y ≥ 72
b) see picture attached
c) 5 pizza makers and 3 cashiers should be hired.
Step-by-step explanation:
a) Let's define:
x: amount of pizza maker
y: amount of cashier
From conditions in the question:
x + y ≤ 16
y/x ≥ 3/5
12*x + 4*y ≥ 72
b) In the picture attached, the feasible region (also called solution region) is shown.
c) We want to minimize:
10*x + 6*y
subject to the previous restrictions.
It is known that the optimum solution is on the vertex of the feasible region (it is a linear system). Evaluating cost function at each point, we get:
10*1 + 6*15 = 100
10*5 + 6*3 = 68
10*10 + 6*6 = 136
Then, 5 pizza makers and 3 cashiers should be hired.
Related Questions
what is the value of the expression r +1988 if r =2976
Answers
Substitue r with 2976-
r +1988 to 2976 +1988
/-
A drawing of a box has dimensions that are 2 inches, 3 inches, and 5 inches. If the drawing is on a 1: 8/3 scale, What are the dimensions of the actual box?
Answers
Answer:
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
Answer: the dimensions would be 1/8
Step-by-step explanation:
please help i will mark you as brainleist!
Answers
Answer:
A. 96.666666666666666666666...
B. 92.3333333333333333333333...
C. 82.4
D. 13
E. 29
F. 26
What is the measure of angle x? (1 point)
40°
2x
Help
Answers
Answer:
what are the options cuz im thinking its 80
Step-by-step explanation:
The length of the sides of a square is 10 meters. Find the length of the diagonals of the square
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Use Pythagoras' theorem:
a^2 + b^2 = c^2
Sub the values in:
10^2 + 10^2 = c^2
200 = c^2
Square root to find the answer:
c = 14.14
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
The length of the diagonals of the square is equal to 14.142 or [tex]10\sqrt{2}[/tex] meters.
Given the following data:
Length of sides = 10 meters.To calculate the length of the diagonals of the square:
In order to find the length of the diagonals of the square, we would multiply the one side of the square by the square root of 2.
Mathematically, this is given by the formula:
[tex]Diagonal = length \times \sqrt{2}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Diagonal = 10 \times \sqrt{2}\\\\Diagonal = 10 \times 1.4142[/tex]
Diagonal = 14.142 meters.
Find more information: https://brainly.com/question/11037225
Which value of the vanable is a solution of the inequality? t<-6
7
6
-6
-7
Answers
Answer:
-7
Step-by-step explanation:
-7 is a solution of the inequality t<-6
By the way, for the number -6, you can think about a temperature below zero. When it is freezing 6 degrees below zero (-6) it is pretty cold.
The question is which number(s) can you substitute for t so that the formula (the inequality) is True.
So let's try for each given value and substitute it for t in t<-6
if you substitute 7 for t you get this:
Is 7 smaller then -6 ?
No that is not true because 7 is bigger then -6.
if you substitute 7 for t you get this:
Is 7 smaller then -6 ?
No that is not true because 7 is much bigger then -6.
if you substitute 6 for t you get this:
Is 6 smaller then -6 ?
No that is not true because 6 is much bigger then -6.
if you substitute -6 for t you get this:
Is -6 smaller then -6 ?
No, that is NOT true because -6 is exactly the same as -6 but NOT smaller then -6...
if you substitute-7 for t you get this:
Please think about temperatures below zero again.
Is -7 colder the -6 ? If so, then the statement is true...
Is -7 smaller then -6 ?
Yes that is true!
So -7 is a solution of the inequality t<-6
please help i'll mark brainliest if your answer is correct
Answers
4x2=8x2= 16 ( the bottom and top rectangle)
6x2= 12 (middle rectangle)
16+12=28
5. Find the area of an equilateral triangle with a
perimeter of 24 in.
what’s the area?
Answers
Answer:
18
Step-by-step explanation:
24÷3=6 6×6=36 36÷2=18
An object moves in simple harmonic motion with amplitude 15 m and period 2. At time t=0 minutes, it’s displacement d from rest is 0 m, and initially it moves in a negative direction. Give the equation modeling the displacement d as a function of time t.
Answers
Answer:5
Step-by-step explanation:
I’m pretty sure it 5
(A+) It takes a painter and his friend 8 hours to paint a room. If the painter was working alone, it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself?
Answers
Answer:
24 hours
Step-by-step explanation:
A scale drawing of a regular parking lot is shown. If the length (longer side) of the parking lot is actually 48 meters, what is the scale factor for the drawing?
(Answer must be written to the nearest hundredth below. )
______ meters
Answers
Which of the following is equivalent to 22/12?
1.8
1 5/12
1. 83
1 5/6
Answers
Answer:
1 5/6
Step-by-step explanation:
First you have to see how many times 12 goes into 22.
It goes in one time.
Then you do 22 - 12 = 10
1 10/12
Simplify:
1 5/6
Answer:
1 5/6
Step-by-step explanation:
22/12
Divide the top and bottom by 2
11/6
This is an improper fraction
Divide the top by the bottom
11/6 = 1 with 5 left over
1 5/6
Pls answer quickly as possible!
Answers
Answer:
25.000
Step-by-step explanation:
With only this information, the answer would be 25000, if there are 100 light bulbs on EACH strand, then we only have to multipy the number of strands by the number of light bulbs. So 250×100=25000
Answer:2,500
Step-by-step explanation:
240 *100 would be 2,500
You get a student loan from the New Mexico Educational Assistance Foundation to pay for your educational expenses this year. Find the interest on the loan if you borrowed $2,000 at 8.5% for 3 year.
Answers
Answer:
$554.58
Step-by-step explanation:
The interest on the loan can be computed by first determining the future value of the loan in three years as follows:
FV=PV*(1+r)^n
PV is the amount of the loan which is $2,000
r is the interest rate which is 8.5%
n is the number of years which is 3 years
FV=$2000*(1+8.5%)^3=$ 2,554.58
Since the value of the loan in three years is $ 2,554.58 ,the interest on the loan is the difference between the future value and the present value
interest=$ 2,554.58-$2,000.00=$554.58
94 POINTS AND BRAINLIEST TO BEST ANSWER!!!
Answers
Answer:
54
Step-by-step explanation:
Diagonals are perpendicular so
2x+ 90 + 3x = 180 since this forms a triangle
Combine like terms
5x+ 90 = 180
Subtract 90 from each side
5x +90-90 =180-90
5x = 90
Divide each side by 5
5x/5 = 90/5
x =18
We want to find Angle ABD
ABD = 3x = 3*18 = 54
Answer:
HOPE THIS HELPS PLS DON"T TAKE IT DOWNN
Step-by-step explanation:
Say that the intersecting point of both diagonals is O
that means that in triangle AOB, all angles add up to 180º that is just the definition of sum of angles in a triangle
and the m<AOB = 90º, diagonals in a rhombus are perpendicular
that means that
90º + 2x + 3x = 180º
90º + 5x = 180º
5x = 90º
x = 18º
if m<ABD = 3x
then its equal to m<ABD = 3(18)
m<ABD = 54º
The lowest temperature in January was
7°F. Which inequality represents all the
temperatures x in January?
Answers
Answer:
x≥7°F
Step-by-step explanation:
This is because 7°F is the lowest temperature and so all other temperatures of the day were greater than that one.
what is the fraction form of pi?
Answers
Answer:
3.14159 and so on
Step-by-step explanation:
There are 86 people coming to my party and each person will need a cup how many packages of cups will i buy if one package of cups has 25 cups
Answers
Answer:
i think its 4 packages
Step-by-step explanation:each package is 25 so if you get 2 its 50 + another package would be 75 so you need one more.
hope this helps
Answer:
You need to buy 4 packages of cups.
Step-by-step explanation:
Since you can't buy half a package and everyone needs a cup, you have to buy 4 packs. Even though it's 100 cups, only 3 packs (75 cups) wouldn't be enough cups for everyone to have one.
If you start at the point (0,0) and walk on a slope that goes up hill, is it positive or
negative in slope?
Positive
Negative
Neither
Both
Answers
Answer:
Positive
Step-by-step explanation:
A line with a positive slope on a graph will go upward if you saw the graph left to right.
If you walked on the line, you would walk on a "hill".
It's y-values increase as it's x-values increase.
(08.01 LC)
The track-and-field coach wants to know whether the students in the entire school prefer track races or field events. The coach draws a random sample from the following groups:
All students in each grade
All teachers in the school
All boys in each grade in the school
All students on the track-and-field team
Which group best represents the population she should take a random sample from to get the best results for her survey?
Answers
Answer:
all students on the track-and-field team
Step-by-step explanation:
if the coach wants to find out if they prefer track or field he/she has to ask the people who are experiencing it right now and tell him or her if they prefer this or not
Answer:
It is All students on the track-and-field team.. Im in flvs 7th and I know Im VERY late and I am currently doing the test RN so Thats all GUYS!
Step-by-step explanation:
Which statement best describes the data in a scatter plot where the y-values are decreasing as the x-values are increasing? *
A.The data can best be modeled by a vertical line.
B.The data can best be modeled by a horizontal line.
C.The data can best be modeled by a line with a positive slope.
D.The data can best be modeled by a line with a negative slope.
Answers
Answer:
D
Step-by-step explanation:
Can someone solve these quick please
Answers
Answer:
brickopoijhukkjijhukkiouhijkjkj
Step-by-step explanation:
Answer:
hehehehehehehhehheheheheheh
Step-by-step explanation:
PLEASE HELP! I’ll GIVE THE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY!!
Answers
Answer:
12
Step-by-step explanation:
There is a column that says blue, and if you look under it, you will see that there was a total of 12 cars that were blue and passed by.
Can I get help please ..
Answers
Answer:
mAC = 30*
Step-by-step explanation:
The scatter plot shows data collected on the number of students who get off the bus at the first and the last stop of various school bus routes. Which statement is true? A. The data in the scatter plot shows a negative linear correlation. B. The data in the scatter plot shows a nonlinear correlation. C. The data in the scatter plot shows a positive linear correlation. D. The data in the scatter plot shows no correlation.
Answers
Answer:I think it’s A but I’m not sure and atleast there is an answer to this
Step-by-step explanation:
Hence, the option (A) is the correct answer.
What is the data collection?
Data collection is defined as a method of collecting, analyzing data for the purpose of validation and research using some techniques.
Here given that,
The scatter plot shows data collected on the number of students who get off the bus at the first and the last stop of various school bus routes
As the students get off at the first and the last stop they both are in opposite direction/negative direction.
Hence, the option (A) is the correct answer.
To know more about the data collection
https://brainly.com/question/17353007
#SPJ5
At the movie theater , child admission is $5.80 and the adult admission is $9.20. On wednesday , 113 tickets were sold for a sales of $866.20. How many adult tickets were sold that day?
Answers
Answer:
62 adults and 51 kids
Step-by-step explanation:
help ity help ity help help help
Answers
- 2 is best described as a coefficient
- x is best described as variable
- 16 is best described as a term
2x, when x = 10
2(10)
20
I need help please
Thank you
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Volume = length x width x height
Substitute the values in:
Volume = 10 x 9 x 32
Solve to get the answer
Volume = 2880 in^3
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Answer:
[tex]2880 {in}^{3} [/tex]
Step-by-step explanation:
[tex]V
=
w
h
l
\\
=
10
·
32
·
9
\\
=
2880
{in}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
When she was in year 8,Sarah could run 800 meters in 3 minutes and 20 seconds.
Three years later, when she was in year 11, she could run 800 meters in 2 minutes and 40 seconds.
Find the percentage improvement in her time and show your working out.
Answers
Answer:
125% improvement
Step-by-step explanation:
3min 20sec = 200sec
2min 40sec = 160sec
800meters/ 200sec = 4 meters per second
800meters/ 160sec = 5 meters per second
5/4 : x/100
4x = 500
x = 125
The temperature was 54 at 7:00 a.m. At 3:00 p.m. on the same day, the temperature was 82. What is the rate of change in temperature during this time?
Answers
Answer:
The rate of change was 3.5 degrees / h.
Step-by-step explanation:
In order to calculate the rate of change we need to divide the variation of temperature by the variation of time. Since the time is given to us in a 12 h format (am/pm), we first need to convert it to 24 h. To do that we sum the time that is "pm" by 12, we have:
time2 = 3 + 12 = 15
Therefore the rate of change in temperature is:
rate = variation of temp / variation of time
rate = (temp final - temp init) / (time final - time init)
rate = (82 - 54) / (15 - 7) = 28 / 8 = 3.5 degrees / h
The rate of change was 3.5 degrees / h.